1001211321 has 48 divisors (see below), whose sum is σ = 1542949632. Its totient is φ = 572589600.

The previous prime is 1001211313. The next prime is 1001211347. The reversal of 1001211321 is 1231121001.

It is not a de Polignac number, because 1001211321 - 2³ = 1001211313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001211297 and 1001211306.

It is not an unprimeable number, because it can be changed into a prime (1001211121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448586 + ... + 1449276.

It is an arithmetic number, because the mean of its divisors is an integer number (32144784).

Almost surely, 2^1001211321 is an apocalyptic number.

1001211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001211321 is a deficient number, since it is larger than the sum of its proper divisors (541738311).

1001211321 is a wasteful number, since it uses less digits than its factorization.

1001211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1001211321 is about 31641.9234718751. The cubic root of 1001211321 is about 1000.4036107431.

Adding to 1001211321 its reverse (1231121001), we get a palindrome (2232332322).

The spelling of 1001211321 in words is "one billion, one million, two hundred eleven thousand, three hundred twenty-one".